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Finding the Fourth Proportional to 210,039.60, 315,058.74 and 52,268.10

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Solution

The fourth proportional to 210,039.60, 315,058.74 and 52,268.10 is: 78,401.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,039.60 : 315,058.74 = 52,268.10 : x
  2. Step 2: Convert to fraction form
    210,039.60/315,058.74 = 52,268.10/x
  3. Step 3: Cross multiply
    210,039.60x = 315,058.74 × 52,268.10
  4. Step 4: Simplify right side
    210,039.60x = 16,467,521,728.19
  5. Step 5: Solve for x
    x = 16,467,521,728.19/210,039.60
  6. Step 6: Final answer
    x = 78,401.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.